L. Cvetković

Pseudospectral Bounds and Transient Amplification in Low-Rank Economic Systems

Pseudospectral analysis provides a natural framework for assessing robustness, systemic vulnerability, and transient shock amplification in non-normal dynamical systems, but its direct application becomes computationally demanding in large-scale problems. Recently, a scalable framework for matrices of the form A=UV*, w...

Partition-based bounds for the norm of the inverse of monotone matrices and totally non-negative matrices

Structure-Aware Bounds for the Distance to Instability in Hierarchical Non-Normal Networks

The distance to instability provides a natural robustness measure for stable continuous-time dynamical systems, but its direct computation can become computationally expensive for large non-normal matrices. In this paper, we develop a structure-aware framework for obtaining certified lower bounds for the distance to in...